Carnegie Learning Middle School Math Solution Virginia State Standards Alignment: Grade 8

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1 Carnegie Learning Middle School Math Solution Virginia State Stards Alignment: Grade 8 Virginia State Stard Textbook MATHia X NUMBER AND NUMBER SENSE The students will compare order real numbers. The student will describe the relationship between subsets of the real number system. 8.3 The student will estimate determine the two consecutive integers between which a square root lies. COMPUTATION AND ESTIMATION 8.4 practical problems involving consumer applications. MEASUREMENT AND GEOMETRY The student will use relationships among pairs of angles that are vertical 8.5 angles, adjacent angles, supplementary angles, complementary angles to determine the measure of unknown angles. Exping Exping Exping Thinking ly The Real The Real The Real Angles 1: So Many s, So Little Time 2: Rational Irrational s 3: What Are Those? 1: So Many s, So Little Time 2: Rational Irrational s 3: What Are Those? 3: What Are Those? 1: Markups Markdowns 2: Perks of Work 3: No Taxation without Calculation 4: More Ups Downs Reasoning Percents 2: Special Delivery Geometry Rational Irrational s Rational Irrational s Problem Solving using Angle Properties 2: Graphing Real s 3: Ordering Real s 1: Introduction to Irrational s 1: Calculating Percent Change Final Amounts 2: Using Percents Percent Change 1: Calculating Angles 2: Classifying Angles Determining Unknown

2 Virginia State Stard Textbook MATHia X a. problems, involving volume surface area of cones squarebased pyramids; b. describe how changing one measured attribute of a rectangular prism affects the volume surface area. a. The student will be given a polygon, apply transformations to include translations, reflections dilations, in the coordinate plane; b. identify practical applications of transformations. The student will construct a three-dimensional model, given the top or bottom, side front views. a. The student will verify the ; b. apply the Applying Powers Transforming Objects Exping Exping Volume of Curved Rigid Motion Similarity 2: Dissecting a Pyramid 3: Hey Mister Got Some Bird Seed 4: The Sounds of Surface Area 5: More Than Four Sides of the Story 2: Cone of Silence 4: Silos, Frozen Yogurt, Popcorn 5: More Than Four Sides of the Story 2: Slides, Flips, Turns 3: Lateral Moves 4: Mirror, Mirror 5: Half Turns Quarter Turns 6: Every Which Way 1: Pinch Zoom Geometry 2: Rising, Running, Stepping, Scaling 3: From Here to There 1: Slicing Dicing 2: Dissecting a Pyramid 1: Triangle Connection 2: Can That Be? 1: Triangle Connection 2: Can That Be? 3: Pythagoras meets Descartes 4: Carry Corner Geometry Volume Volume of Pyramids Volume of on the Coordinate Plane The The 1: Calculating Volume of Pyramids 2: Using Volume of Pyramids 3: Calculating Volume of Cones 4: Using Volume of Cones 1: Translating Plane 2: Rotating Plane 3: Reflecting Plane 4: Dilating Plane 5: Performing One Transformation 6: Performing Multiple 1: Exploring the 2: Applying the 3: Problem Solving using the 4: Calculating Distances on the Coordinate Plane

3 Virginia State Stard Textbook MATHia X 8.10 area perimeter problems, including practical problems, involving composite plane figures. PROBABILITY AND STATISTICS a. The student will compare contrast the probability of independent 8.11 dependent events; b. determine probabilities for independent dependent events. a. The student will represent numerical data in boxplots; b. make observations about data represented in boxplots; c. compare analyze two data sets using boxplots. a. The student will represent data in scatterplots; b. make observations about data represented in scatterplots; c. use a drawing to estimate the line of best fit represented in a scatterplot. Composing Decomposing Analyzing Populations Analyzing Populations Describing Variability of Describing Variability of Factors Area Compound Compound Numerical Displays of Data Numerical Displays of Data 2: All About that Base Height 3: Slicing Dicing 3: Pet Shop 4: On a Hot Streak 2: Box It Up 2: Box It Up 1: Pass the Squeeze 1: Pass the Squeeze 2: Where Do You Buy Your Socks 2: Where Do You Buy Your Socks Measurement Data Comparison of Central Tendency Data Displays of Central Tendency Data Displays Area Introduction to Box Plots Box Plots Lines of Best Fit 1: Develop Area Formulas 2: Calculating Area of Various 3: Solving Area Problems 4: Calculating Area of Composite 3: Calculating Compound 1: Box Plots 2: Interpreting Box Plots 1: Estimating Lines of Best Fit 2: Using Lines of Best Fit

4 Virginia State Stard Textbook MATHia X PATTERNS, FUNCTIONS, AND ALGEBRA a. The student will evaluate an algebraic expression for given replacement values of the variable. a. The student will determine whether a given relation is a function; b. determine the domain range of a function. a. The student will recognize describe the graph of a linear function with a slope that is positive, negative or zero; b. identify the slope y-intercept of a linear function, given a table of values, a graph or an equation in y = mx + b form; c. determine independent dependent variable, given a practical situation modeled by a linear function; d. graph a linear equation in y - mx + b form; e. make connections between among representations of a linear function using verbal descriptions, tables, equations, graphs. Determining Unknown Reasoning ally Determining Unknown Introduction to s Introduction to s From Proportions to Graphing Quantitative 2: Into the Unknown 1: No Substitution for Hard Work 3: One or More X s to One Y 4: Over the River Through the Woods 2: Once Upon a Graph 2: Jack Jill Went up the Hill 3: Slippery Slopes 4: Up, Down, All Around 1: U.S. Shirts 2: At the Arcade 3: Dining, Dancing, Driving 3: Dining, Dancing, Driving 1: Every Graph Tells a Story 1: U.S. Shirts 2: At the Arcade 3: Dining, Dancing, Deriving Numeric s Models s Models s Models s Models s Models Relations s Relations s Writing of Lines Models Writing of Lines 2: Evaluating Multi-Step 3: Evaluating with Multiple Variables 1: Exploring s 2: Exploring Graphs of s 3: Classifying Relations s 1: Exploring s 4: Identifying Key Characteristics of s 5: Modeling s using Multiple Representations 1: Graphing Given Slope y-intercept 2: Graphing Given a Decimal Slope y-intercept 5: Modeling s using Multiple Representations

5 Virginia State Stard Textbook MATHia X multistep linear equations in one variable with the variable on one of both sides of the equation, including practical problems that require the solution of a multistep linear equation in one variable. multistep linear inequalities in one variable with the variable on one or both sides of the inequality symbol, including practical problems, graph the solution on a number line. Modeling Solving 1: Strategic Solving 2: MP3s DVDs 3: Tic-Tac Bingo of Solving with Variables on Both Sides 1: Solving Two-Step 2: Solving Multi-Step 1: Solving with Integers (No Type In) 2: Solving with Integers (Type In) 3: Solving with One Solution, Infinite No Solutions